{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The autoreload extension is already loaded. To reload it, use:\n",
      "  %reload_ext autoreload\n"
     ]
    }
   ],
   "source": [
    "import matplotlib\n",
    "%matplotlib inline\n",
    "matplotlib.style.use('ggplot')\n",
    "\n",
    "from envs.mdp import StochasticMDPEnv\n",
    "from utils.plotting import plot_episode_stats, plot_visited_states\n",
    "from utils.schedule import LinearSchedule\n",
    "\n",
    "from q_learning import q_learning\n",
    "\n",
    "# for auto-reloading external modules\n",
    "# see http://stackoverflow.com/questions/1907993/autoreload-of-modules-in-ipython\n",
    "%load_ext autoreload\n",
    "%autoreload 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "NUM_EPISODES = 12000\n",
    "exploration_schedule = LinearSchedule(50000, 0.1, 1.0)\n",
    "\n",
    "env = StochasticMDPEnv()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "Q, stats, visits = q_learning(env, NUM_EPISODES, lr=0.00025, exploration_schedule=exploration_schedule)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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EWVlZmDJlijOJGj58OIYPH+53+unTp3sNu/LKK32WNZlMmDVrFgCgW7dumD9/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\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x115f51da0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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lJQEA5s2bh6CgoKvboHpotVqrr6O5YZlalrXL84KnDqUA9N7e8HKS/Xbuz//m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\nOnjwII4dOwa9Xo85c+bgySefhMvlYjxjsGPHDvz73//G4OAgiouL8dB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      "text/plain": [
       "<matplotlib.figure.Figure at 0x116052ba8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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jtICEhIRa30ewCtXZNXfoCdXZG9LctuwwrP0Qu+p9bP4isC4A5obfsvekU9n7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\n/w/01arh5WUZnwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1161ccf28>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "(<matplotlib.figure.Figure at 0x115f51da0>,\n",
       " <matplotlib.figure.Figure at 0x116052ba8>,\n",
       " <matplotlib.figure.Figure at 0x1161ccf28>)"
      ]
     },
     "execution_count": 57,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot_episode_stats(stats)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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I1tKlS5GcnIy8vDxMnToV48aNQ1lZGQBg2LBhiI2NxcWLF7FmzRoAlmcU8VQg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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1121207b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_visited_states(visits, NUM_EPISODES)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python [conda env:py35]",
   "language": "python",
   "name": "conda-env-py35-py"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
